| Some estimates of the remainder in the expressions for the eigenvalue asymptotics of some singular integral operators |
| Milutin Dostanić |
Abstract Some estimates are given for the remainder in the expressions for eigenvalue asymptotics of operators of the type of Riesz' potential and logarithmic potential. As a corollary an estimate is obtained of the spectral asymptotics of an operator playing a role in the thin airplane wing theory. The method is elementary and it is based on the properties of the singular values of compact operators.
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Keywords: Operator with Riesz' potential, operator with logarithimic potential, eigenvalue asymptotics. |
MSC: 47B10 |
Pages: 129$-$137 |
Volume 49 , Issue 2 , 1997 |
